36663060672 has 672 divisors, whose sum is σ = 131344416000. Its totient is φ = 9990328320.

The previous prime is 36663060671. The next prime is 36663060677. The reversal of 36663060672 is 27606036663.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (36663060671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204821479 + ... + 204821657.

It is an arithmetic number, because the mean of its divisors is an integer number (195453000).

Almost surely, 2^36663060672 is an apocalyptic number.

36663060672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36663060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672208000).

36663060672 is an abundant number, since it is smaller than the sum of its proper divisors (94681355328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36663060672 is a wasteful number, since it uses less digits than its factorization.

36663060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 36663060672 in words is "thirty-six billion, six hundred sixty-three million, sixty thousand, six hundred seventy-two".